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Finding the Third Proportional to 68,088 and 149,095.50

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Solution

The third proportional to 68,088 and 149,095.50 is: 326,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088 : 149,095.50 = 149,095.50 : x
  2. Step 2: Convert to fraction form
    68,088/149,095.50 = 149,095.50/x
  3. Step 3: Cross multiply
    68,088x = 149,095.50 × 149,095.50
  4. Step 4: Simplify right side
    68,088x = 22,229,468,120.25
  5. Step 5: Solve for x
    x = 22,229,468,120.25/68,088
  6. Step 6: Final answer
    x = 326,481.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.